What is the Least Common Multiple of 91410 and 91428?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91410 and 91428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91410 and 91428, than apply into the LCM equation.

GCF(91410,91428) = 6
LCM(91410,91428) = ( 91410 × 91428) / 6
LCM(91410,91428) = 8357433480 / 6
LCM(91410,91428) = 1392905580

Least Common Multiple (LCM) of 91410 and 91428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91410 and 91428. First we will calculate the prime factors of 91410 and 91428.

Prime Factorization of 91410

Prime Factorization of 91428

Now multiplying the highest exponent prime factors to calculate the LCM of 91410 and 91428.

LCM(91410,91428) = 2² × 3¹ × 5¹ × 11¹ × 277¹ × 19¹ × 401¹
LCM(91410,91428) = 1392905580